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Asymptotic behavior of varying discrete Jacobi-Sobolev orthogonal polynomials

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URI: http://hdl.handle.net/10016/23255
ISSN: 0377-0427
DOI: 10.1016/j.cam.2016.01.010
UXXI: AR/0000017812
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2016-07
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Elsevier
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In this contribution we deal with a varying discrete Sobolev inner product involving the Jacobi weight. Our aim is to study the asymptotic properties of the corresponding orthogonal polynomials and the behavior of their zeros. We are interested in Mehler-Heine type formulae because they describe the essential differences from the point of view of the asymptotic behavior between these Sobolev orthogonal polynomials and the Jacobi ones. Moreover, this asymptotic behavior provides an approximation of the zeros of the Sobolev polynomials in terms of the zeros of other well-known special functions. We generalize some results appeared in the literature very recently. (C) 2016 Elsevier B.V. All rights reserved.
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Sobolev orthogonal polynomials, Jacobi polynomials, Mehler-Heine formulae, Asymptotics, Zeros
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Journal of Computational and Applied Mathematics, v. 300, July, pp. 341-353
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